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Finding the Third Proportional to 16,176.75 and 34,297.50

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Solution

The third proportional to 16,176.75 and 34,297.50 is: 72,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.75 : 34,297.50 = 34,297.50 : x
  2. Step 2: Convert to fraction form
    16,176.75/34,297.50 = 34,297.50/x
  3. Step 3: Cross multiply
    16,176.75x = 34,297.50 × 34,297.50
  4. Step 4: Simplify right side
    16,176.75x = 1,176,318,506.25
  5. Step 5: Solve for x
    x = 1,176,318,506.25/16,176.75
  6. Step 6: Final answer
    x = 72,716.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.